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Finding the Fourth Proportional to 6,493.68, 9,741.47 and 2,049.84

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Solution

The fourth proportional to 6,493.68, 9,741.47 and 2,049.84 is: 3,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.68 : 9,741.47 = 2,049.84 : x
  2. Step 2: Convert to fraction form
    6,493.68/9,741.47 = 2,049.84/x
  3. Step 3: Cross multiply
    6,493.68x = 9,741.47 × 2,049.84
  4. Step 4: Simplify right side
    6,493.68x = 19,968,444.62
  5. Step 5: Solve for x
    x = 19,968,444.62/6,493.68
  6. Step 6: Final answer
    x = 3,075.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.